C# - Find if a matrix is a magic square.

C# - Find if a matrix is a magic square. The sum of elements in each row, each column and the diagonals should be equal. It is defined only for a square matrix.

CODE

using System; namespace SampleNS { class Program { public static void Main(string[] args) { Console.WriteLine("The magic square is defined for only square matrix."); Console.Write("Enter the size of the magic square matrix: "); int size = Convert.ToInt32(Console.ReadLine()); int[,] matrix = new int[size, size]; Console.Write("Enter the elements in the matrix...\n"); for (int i = 0; i < size; i++) { for (int j = 0; j < size; j++) { Console.Write("[{0}],[{1}] : ", i, j); matrix[i, j] = Convert.ToInt32(Console.ReadLine()); } } bool isMagicSquare = true; //Calculate the sum of the prime diagonal int primeDiagonalSum = 0; for (int i = 0; i < size; i++) { primeDiagonalSum += matrix[i, i]; } //Calculate the sum of the secondary diagonal int secondaryDiagonalSum = 0; for (int i = 0; i < size; i++) { secondaryDiagonalSum = secondaryDiagonalSum + matrix[i, size-1-i]; } //Keep primeDiagonalSum as the base to check all the other sums if (primeDiagonalSum == secondaryDiagonalSum) { for (int i = 0; i < size; i++) { int rowSum = 0; int colSum = 0; for (int j = 0; j < size; j++) { //Calculate the sum of rows rowSum += matrix[i, j]; //Calculate the sum of cols colSum += matrix[j, i]; } if (rowSum != primeDiagonalSum || colSum != primeDiagonalSum) { isMagicSquare = false; break; } } } else isMagicSquare = false; if (isMagicSquare) Console.WriteLine("The given matrix is a magic square."); else Console.WriteLine("The given matrix is not a magic square."); Console.ReadKey(); } } }